Pith Number

pith:A47OARQR

pith:2011:A47OARQRYD6MCWBCYSLEM6GHJN

not attested not anchored not stored refs pending

Representing integers as linear combinations of powers

Lajos Hajdu, Rob Tijdeman

arxiv:1108.3737 v1 · 2011-08-18 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A47OARQRYD6MCWBCYSLEM6GHJN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:15:07.556615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073ee04611c0fcc15822c4964678c74b71be970e8fe781d151b76b2a9b1fa5b7

Aliases

arxiv: 1108.3737 · arxiv_version: 1108.3737v1 · doi: 10.48550/arxiv.1108.3737 · pith_short_12: A47OARQRYD6M · pith_short_16: A47OARQRYD6MCWBC · pith_short_8: A47OARQR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/A47OARQRYD6MCWBCYSLEM6GHJN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 073ee04611c0fcc15822c4964678c74b71be970e8fe781d151b76b2a9b1fa5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f38a36414e7b734bb68374fc0721acc37fc930d4a2766cd06b5aed44487714a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-18T12:25:29Z",
    "title_canon_sha256": "3c12c0ff6bb2c040aa1bdc47ec1ebc27eeb6d4c5bc8672cf6742300ff1480c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3737",
    "kind": "arxiv",
    "version": 1
  }
}